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Finding the Third Proportional to 851,850 and 1,270,390.50

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Solution

The third proportional to 851,850 and 1,270,390.50 is: 1,894,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,850 : 1,270,390.50 = 1,270,390.50 : x
  2. Step 2: Convert to fraction form
    851,850/1,270,390.50 = 1,270,390.50/x
  3. Step 3: Cross multiply
    851,850x = 1,270,390.50 × 1,270,390.50
  4. Step 4: Simplify right side
    851,850x = 1,613,892,022,490.25
  5. Step 5: Solve for x
    x = 1,613,892,022,490.25/851,850
  6. Step 6: Final answer
    x = 1,894,573.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.